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Finding the Fourth Proportional to 2,033.14, 3,048.61 and 646.10

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Solution

The fourth proportional to 2,033.14, 3,048.61 and 646.10 is: 968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.14 : 3,048.61 = 646.10 : x
  2. Step 2: Convert to fraction form
    2,033.14/3,048.61 = 646.10/x
  3. Step 3: Cross multiply
    2,033.14x = 3,048.61 × 646.10
  4. Step 4: Simplify right side
    2,033.14x = 1,969,706.92
  5. Step 5: Solve for x
    x = 1,969,706.92/2,033.14
  6. Step 6: Final answer
    x = 968.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.